What will be the inductance required to produce ultrasonicwaves of 2.5 MHz having a capacitance of 0.035µF
Question
What will be the inductance required to produce ultrasonic waves of 2.5 MHz having a capacitance of 0.035µF?
Solution
The frequency of an LC (inductor-capacitor) circuit is given by the formula:
f = 1 / (2π√(LC))
Where: f is the frequency, L is the inductance, and C is the capacitance.
We can rearrange this formula to solve for L:
L = 1 / (4π²f²C)
Given that f = 2.5 MHz = 2.5 x 10^6 Hz and C = 0.035 µF = 0.035 x 10^-6 F, we can substitute these values into the formula:
L = 1 / (4π²(2.5 x 10^6 Hz)²(0.035 x 10^-6 F))
Solving this equation will give you the required inductance in henries (H).
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